An Elementary Treatise on Algebra: Theoretical and PracticalCollins and Hannay, 1824 - 516 σελίδες |
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Σελίδα 7
... four ; as , a - b + 3x -4y ; and a polynomial , or multinomial , consists of an indefinite number of terms . Quantities consist- ing of more than one term may be called compound quantities . 23. Quantities the signs of which are all ...
... four ; as , a - b + 3x -4y ; and a polynomial , or multinomial , consists of an indefinite number of terms . Quantities consist- ing of more than one term may be called compound quantities . 23. Quantities the signs of which are all ...
Σελίδα 145
... four terms , we have 17 , and the de- ficiency is only : Therefore , we see very clearly that the more terms of the quotient we take , the less the difference becomes ; and that , consequent- ly , if we continue to take successive ...
... four terms , we have 17 , and the de- ficiency is only : Therefore , we see very clearly that the more terms of the quotient we take , the less the difference becomes ; and that , consequent- ly , if we continue to take successive ...
Σελίδα 148
... four terms the error is no more than 4. Since , therefore , the error always becomes three times . less , it tends toward zero , which it cannot attain , and the sum tends toward 3 , which is the limit . 1 174. Again , let us take a = 3 ...
... four terms the error is no more than 4. Since , therefore , the error always becomes three times . less , it tends toward zero , which it cannot attain , and the sum tends toward 3 , which is the limit . 1 174. Again , let us take a = 3 ...
Σελίδα 149
... four terms , whose sum is 214 , the error is 19 . 1 175. Finally , for a = 1 , we find = 1 + 1 = 1 1-1 +1 ++++ , & c .; the two first terms are equal to 11 , which gives for the error ; and taking one term more , we shall only have an ...
... four terms , whose sum is 214 , the error is 19 . 1 175. Finally , for a = 1 , we find = 1 + 1 = 1 1-1 +1 ++++ , & c .; the two first terms are equal to 11 , which gives for the error ; and taking one term more , we shall only have an ...
Σελίδα 154
... four terms , we have , which is too small by , & c . == 1 - + - + √6-33 + , & c .: We see here that the successive portions of the series are alternately greater and less than the frac- tion , which represent it ; but that the ...
... four terms , we have , which is too small by , & c . == 1 - + - + √6-33 + , & c .: We see here that the successive portions of the series are alternately greater and less than the frac- tion , which represent it ; but that the ...
Άλλες εκδόσεις - Προβολή όλων
An Elementary Treatise on Algebra: Theoretical and Practical James Ryan,Robert Adrain Πλήρης προβολή - 1824 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a²+ab+b² according added algebraic quantities arithmetical becomes binomial changing the signs coefficients common denominator completing the square compound quantity consequently cube root demonstrated difference divi divided dividend division equa equal exponent expression extracting the root factors find the values formula fourth fraction required greater greatest common divisor greatest common measure Hence improper fraction least common multiple less letter logarithm lowest terms lues magnitudes manner mixed quantity multiplied number of terms numbers or quantities observed operation positive prefixed Prob problem proper sign proportionals proposed equation quadratic quadratic equations quan quotient radical sign ratio Reduce remainder Required the square required to find result RULE shillings side simple equations square root substituting subtracted surd third tion tity transposition unity unknown quantity values of x whence whole number